(6j^2-2j+5)+(3j^2+4j-6)

By setting up the question as an algebraic equation, 1/2 * x = 21, and solving for x, it's determined that half of 42 is equal to 21.

The question we're looking to solve is: "1/2 of what number is 7 times 3?" First, let's understand that 7 times 3 equals 21. The question asks which number, when halved, gives us 21. This can easily be set up as an algebraic equation: 1/2 * x = 21, where x represents the number we're trying to find.

To solve for x, we first multiply both sides of the equation by 2 to get rid of the fraction (1/2). This leaves us with: x = 21 * 2. Therefore, x = 42. The number, when cut in half, that results in 21, is 42.

Answer:

D. 16.8

Step-by-step explanation:

It is right trust me!!!

Answer:

Additional amount of clearance between the truck and overpass is 16.8 inches.

Step-by-step explanation:

A law states that a a freight truck must have the clearance of at least 3 feet to travel under the a overpass.

Sign on an overpass states that the overpass is 18 feet above the road's surface.

Height of the truck is 13.6 feet.

As per rule height of overpass from the road must be height of the truck + clearance.

Additional amount of clearance between the truck and the overpass

= Distance between the road and the overpass - (height of the truck + clearance)

= 18 - (13.6 + 3)

= 18 - 16.6

= 1.4 feet

Since 1.4 feet = 12 inches

1.4 feet = 12×1.4 = 16.8 inches

Therefore, additional amount of clearance between the truck and overpass is 16.8 inches.

Answer:

125i

Step-by-step explanation:

The simplification of the complex number (5i)³ is; -125i

We are given the complex number; (5i)³

Expanding the given complex number gives;

(5i)³ = 5³ * i³

⇒ 125i * i²

From complex number multiplication, we know that i² = -1. Thus;

125i * i² = -125i

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Answer:

75 and 79

Step-by-step explanation:

An integer is any whole number. So you can  use practically any combination of numbers as long as one is greater than 77 and one is lower than 77.

So an example would be, 79 and 75

Answer:

She lost $15 on her 50 dollar credit card.

Explanation:

Since Kendra looses 5$ each month, we have to look at how many months the card was left unused. The card was left unused for 3 months. Multiply the $5 by 3 months to get $15. Her card is now at $35

The amount of money Kendra lost in her gift card is required.

Kendra lost $15.

Initial value of the gift card = $50

Money lost per month = $5

Let M be the number of months after the gift card was bought.

The money lost after M months passed would be

[tex]5M[/tex]

Kendra forgot about the gift card for 3 months

So, [tex]M=3[/tex]

[tex]5\times3=15[/tex]

Kendra lost $15.

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Answer:

short or long, thin or thick, straight or curved, direct or meandering, zigzag or serpentine, distinct or blurred

Answer:

Length

Step-by-step explanation:

We know that a line segment has two end points with a definite length.

A straight line has neither starting nor end point and is of infinite length

The attribute of the line is the length

Hope this helps! :)

Answer: Kristin parked her car at the garage for 6 hours and 30 minutes.

Step-by-step explanation:

Hi, to solve this problem we have to analyze the information given:

We have to divide the parking cost by the cost per hour to obtain the hours that the car was parked at the garage.

Mathematically speaking:

In conclusion, Kristin parked her car at the garage for 6 hours and 30 minutes.

Answer:22/7

Step-by-step explanation:

Answer:

120 ml

Step-by-step explanation:

Let x ml of 5% acid should mix with 60 milliliters of 20% acid to obtain a 10% solution,

Thus, the quantity of resultant mixture = ( x + 60 ) ml,

Also,

Acid in x ml 5% acid + Acid in x ml 5% acid = acid in 10% resultant solution,

5% of x + 20% of 60 = 10% of ( x + 60)

[tex]\frac{5x}{100}+\frac{20\times 60}{100}=\frac{10\times (x+60)}{100}[/tex]

[tex]5x + 1200 = 10x + 600[/tex]

[tex]5x - 10x = 600 - 1200[/tex]

[tex]-5x = -600[/tex]

[tex]\implies x = \frac{-600}{-5}=120[/tex]

Hence, 120 ml of 5% acid should be mixed.

Final answer:

The three consecutive integers that satisfy the condition are 11, 12, and 13. These numbers are such that the sum of the first two is equal to the third integer plus 10.

Explanation:

The question asks to find three consecutive integers where the sum of the first two is 10 more than the third. To solve this, let's call the smallest integer 'x'. Therefore, the next two consecutive integers will be 'x+1' and 'x+2'. The problem states that the sum of the first two integers is 10 more than the third, which gives us the equation: x + (x + 1) = (x + 2) + 10.

Simplifying this equation gives us 2x + 1 = x + 12. To find the value of 'x', we subtract 'x' from both sides of the equation, which gives us x + 1 = 12. Next, we subtract 1 from both sides to get x = 11. The three consecutive integers in question are therefore 11, 12, and 13.

Checking our work: the sum of the first two integers is 11 + 12 = 23. The third integer plus 10 is 13 + 10 = 23. Since both sums are equal, our solution is correct.

Final answer:

To find three consecutive integers, let the first integer be x, the second integer be x+1, and the third integer be x+2. Solve the equation x + (x+1) = (x+2) + 10 to find x, then determine the three consecutive integers.

Explanation:

To find three consecutive integers, we can let the first integer be x, the second integer be x+1, and the third integer be x+2. We are given that the sum of the first two integers is 10 more than the third integer. This can be written as:

x + (x+1) = (x+2) + 10

Combining like terms and solving the equation, we get:

2x + 1 = x + 12

x = 11

So the three consecutive integers are 11, 12, and 13.

Answer:

the answer is C

Step-by-step explanation:

You can solve this by changing everything to fractional powers. 4th root of x^3 can be written as x^3/4. Since you are dividing you will subtract their powers, so 3/4 - 1/12 will give you the power raised by x. You can rewrite to 9/12 - 1/12 to get 8/12 which will end up as x^2/3

I tried to answer the last time you asked but you closed the question haha, I hope you understand!

in any case, the amount of zeros is more important than the significant digits. since 7X10-9 has a smaller exponent above the 10 than 6X10-4, it is safe to say 6X10-4 is the larger number

Answer:

7 x 10-9

Step-by-step explanation:

(7x10)      (6 x 10)

70-9        60-4

61             56

Answer:

5,500,000 = (5 x 100000000) + (0 x 10000000) + (5 x 1000000) + (0 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1)

Step-by-step explanation:

The expanded form of 5,500,000 is  (5 x 1000000) + (5 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1).

The expanded form of the number is the splitting of numbers based on the place value, such as ones, tens, hundreds, thousands, ten thousands,and so on. The number that is represented by the sum of each digit multiplied by its place value is called the expanded form of the number.

Now the given number is,

5,500,000

Now each digit place value is given as,

5 =  (5 x 1000000)  

5 =  (5 x 100000)

0 =  (0 x 10000)

0 =  (0 x 1000)  

0 =  (0 x 100)

0 =  (0 x 10)

0 =  (0 x 1)

Adding this together, we get

5,500,000 = (5 x 1000000) + (5 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1).

Hence, The expanded form of 5,500,000 is  (5 x 1000000) + (5 x 100000) + (0 x 10000) + (0 x 1000) + (0 x 100) + (0 x 10) + (0 x 1).

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Answer:

Answer: 3

Step-by-step explanation:

Use BODMAS

Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )

Convert mixed fractions into improper fractions

7/5 + 3.5 ÷ 5/4

Divide 3.5 by 5/4

7/5 + 2.8 = 4.2

Step 2: Carry out all divisions

Convert mixed fraction into improper fractions

4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35

4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35

1.75 + 1.6 - 0.35

Step 3: Solve

1.75 + 1.6 - 0.35

3.35 - 0.35

Answer = 3

Answer:

Two thirds of the Senate must approve it

The minimum number of Senate members needed to approve a treaty is two-thirds of the Senate.

The minimum number of members of the Senate that must approve a treaty for it to go into effect is two-thirds (⅔) of the Senate. The Constitution of the United States, Article II, Section 2, Clause 2 states that the President has the power to make treaties, but they require the advice and consent of the Senate.

For example, if the Senate has 100 members, then 67 votes would be needed to approve a treaty for it to go into effect. However, it is important to note that the Senate may require a supermajority vote, which would mean a higher percentage of approval than two-thirds, depending on their rules and procedures.

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Answer:

68

Step-by-step explanation:

4^3-(24÷6)+8

4³-(4)+8= 68

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Answer:

68

Step-by-step explanation:

[tex] {4}^{3} - (24 \div 6) + 8 = 64 - 4 + 8 = 60 + 8 = 68[/tex]

According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, you deal with the grouping symbols first before anything else, then comes the exponents, and finally comes Subtraction & Addition from right to left [or left to right, if you know what you are doing correctly]. Doing all of these will give sixty-eight.

I am joyous to assist you anytime.

Answer:

Step-by-step explanation:

[tex]\left|\dfrac{x}{4}-7\right|<-2[/tex]

We know: absolute value is always non-negative.

Therefore, this inequality has no solution.

Answer:

a. [tex]\frac{2}{5}[/tex] yard

b. 1.2 feet

Step-by-step explanation:

a. Jackie cut a 2-yard spool into 5 equal length of ribbon.

We will divide 2 yard by 5 = 2 ÷ 5 =  [tex]\frac{2}{5}[/tex] yard

5 units = 2 yard

1 unit = [tex]\frac{2}{5}[/tex] yard

Check : [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{10}{5}[/tex] = 2

b. Length of each ribbon in feet

Since 1 yard = 3 feet

therefore, 2 yard = 3 × 2 = 6 feet

6 feet in to 5 equal part = 6 ÷ 5

                                       = 1.2 feet

check :   1.2 + 1.2 + 1.2 + 1.2 + 1.2 = 6.0 feet

Each ribbon cut from a 2-yard spool into 5 equal parts will be 0.4 yards or 1.2 feet in length. Tape diagrams represent this division into equal parts.

To determine the length of each ribbon when a 2-yard spool is cut into 5 equal lengths, you need to divide the total length by the number of pieces.

To represent this with a tape diagram, imagine a line equally divided into 5 sections, with each section representing 0.4 yards.

For the length in feet, since 1 yard equals 3 feet, we multiply the length in yards by 3.

To show this with a tape diagram, you can divide a line into 5 sections with each section representing 1.2 feet.

Answer:

Step-by-step explanation: 0.3 repeating can be made rational by turning it into 1/3.

[tex]\bf 0.\overline{3}\qquad \qquad x=0.\overline{3}\qquad \qquad \begin{array}{llll} 10\cdot x&=&3.\overline{3}\\\\ 100\cdot x&=&33.\overline{3} \end{array}\qquad \qquad \begin{array}{rllll} \stackrel{100x}{33.\overline{3}}\\\\ -\stackrel{10x}{3.\overline{3}}\\ \cline{1-1} 30.0 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x-10x=30\implies 90x=30\implies x=\cfrac{30}{90}\implies x=\cfrac{1}{3}[/tex]

Answer:

4.32       46

Step-by-step explanation:

ok im lazy and just googled it here

Answer:

Rafael gets $4,32 In tips. The old lady gets $41.68 in change.

Step-by-step explanation:

Step 1: To calculate the tip we must take into account that it is 8% of the total amount of the bill.

$54 * 8%/100% = $4,32

Rafael gets $4,32 In tips.

Step 2: Now we must calculate the change the old lady receives. For this, we must subtract from the $100 that she gives the part corresponding to the payment for food and the part corresponding to the tip.

$100 - $54 - $4,32 = $41,68

The old lady gets $41.68 in change.

Have a nice day!

Answer:

That is written in standard form. Hope this helps.

The original price was 142 dollar.

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We are given that store is having a 20% off sale. If the reduced

price of an item is $126.40,

We need to find the original price.

Therefore, we can write as ;

0.80x = 113.60

Now divide both sides by .80

x=142

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To find the original price of the item that was reduced by 20% to $126.40, divide the sale price by 0.80, which yields an original price of $158.00.

To determine the original price of an item that has been marked 20% off, we need to work backward from the sale price. The sale price represents 80% of the original price because 100% - 20% = 80%.

The question is provided with the reduced price which is $126.40. To find the original price, we divide the reduced price by 0.80.

Therefore, the original price of the item was $158.00.

Answer:

4.24

Step-by-step explanation:

Answer:

5 is the interquartile range

Step-by-step explanation:

•25th Percentile: 7

•50th Percentile: 8.5

•75th Percentile: 12

•Interquartile Range: 5

16.2

filler filler filler

Answer:

Step-by-step explanation:

16 feet

Answer:

Option C.

Step-by-step explanation:

Let x be the distance from holes center in feet and y be the depth from level ground in feet.

The given table represents a quadratic functions.

x :    -2             0           2

y :    -6            -8          -6

The depth from level ground in feet is same at x=-2 and x=2 it means the hole is symmetric about the line x=0.

The value of a quadratic function is on its extreme at line of symmetry.

In the given function the line of symmetry is x=0. So, the depth of the hole is defined on x=0.

From the table it is clear that at x=0 the depth from level ground is 8 feet.

Therefore, the correct option is C.

Answer:

The sum of the first 6 terms in the given series is -1,092.

The sum of the first 6 terms in the given series is -1,092.

The sum of the first n terms in an arithmetic collection is (n/2)⋅(a₁+aₙ). it's far called the mathematics series components.

An infinite collection that has a sum is known as a convergent collection and the sum Sn is referred to as the partial sum of the collection.

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Check the picture below.

make sure your calculator is in Degree mode.

Answer:

[tex]b = \frac{4y}{5l + 5s} [/tex]

Step-by-step explanation:

[tex] \frac{4y}{5b} = l + s[/tex]

multiplying through by the L.C.M. which is 5b

[tex] \frac{4y}{5b} \times 5b = (l + s) \times 5b[/tex]

cancel out

4y =5bL+ 5bs

factorizing b out

4y=b ( 5L +5s ).

making be the subject by dividing through by ( 5L+ 5s )

[tex] \frac{4y}{5l + 5s} = \frac{b(5l + 5s)}{5l + 5s} [/tex]

[tex]b = \frac{4y}{5l + 5s} [/tex]

Answer:

-18

Step-by-step explanation:

Follow PEMDAS. So first you do 2x2=4 then 4-7x= -3-15= -18

Good evening ,

_______

Answer:

x’=5

x’’=(-3)/2

____________________

Step-by-step explanation:

Δ=(-7)²-4×(2)×(-15)=49+120=169

√Δ=√169=13

then

x’=(7+13)/4=20/4=5

x’’=(7-13)/4=(-6)/4=(-3)/2.

:)